Fourier Restriction of H1 Functions on Polynomial Surfaces

Dendrinos, S. (2007) Fourier Restriction of H1 Functions on Polynomial Surfaces. Journal of Fourier Analysis and Applications, 13(5), pp. 623-641. (doi: 10.1007/s00041-006-6055-4)

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Publisher's URL: http://dx.doi.org/10.1007/s00041-006-6055-4

Abstract

We prove a Fourier restriction theorem for H1 functions, which is a generalisation of a classical inequality of Hardy. As a consequence of our result, we explicitly obtain a class of BMO functions.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Dendrinos, Dr Spyridon
Authors: Dendrinos, S.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Research Group:Analysis
Journal Name:Journal of Fourier Analysis and Applications
Journal Abbr.:J. Fourier Anal. Appl.
ISSN:1069-5869
ISSN (Online):1531-5851
Published Online:18 October 2007

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